Question

Which one of the following pairs of sets has no members in common?

A:{all composite numbers} , {all odd numbers}

B:{all multiples of three} , {all multiples of four}

C:{all odd numbers} , {all even numbers)

D:{all prime numbers} , {all even numbers}

E:none of these

Answer 1

Answer:

C

Step-by-step explanation:

First, eliminate obvious wrong answers.

B:X

All multiples of 12 can always be divided by 3 or 4.

Then, go from top to bottom, skipping eliminated answers.

A:X

Composite: 4, 6, 8, 9, 10, 12, 14, 15

Odd: 1, 3, 5, 7, 9, 11, 13, 15, 17

Choice A has the number 9 in common between both rules.

C:_/(Imagine that's a check)

Even numbers are integers that when divided by 2, give back another integer (Zero is included in this rule). Those that don't follow this rule are considered odd numbers. Because of this, it's impossible to get an integer that is both odd and even.

Even: 0, 2, 4, 6, 8, 10, 12, 14, 16, 18

Odd: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19